ON THE PROPERTY OF UNIFORM COMPLETE CONTROLLABILITYFOR A LINEAR SYSTEM WITH LOCAL INTEGRABLE COEFFICIENTS

In this paper, the property of uniform complete controllability for linear systems with locally integrable and integral coefficients is introduced (definition 3). The presence of the studied property in such systems allows solving problems of both local and global control of their asymptotic characteristics, i. e. control of the asymptotics of solutions of these dynamic systems (for more details, see the monograph [3]). The latter fact confirms the relevance of the present research.